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lubasha [3.4K]
3 years ago
7

Directions: Post your answer to this question in your Unit 8: Journal 1.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

Tan(∠A) is 4/3.

Step-by-step explanation:

To answer this question, we first need a basic understanding of sin, cos, and tan. The sin of an angle is the opposite over hypotenuse, the cos is adjacent over hypotenuse, and the tan is the opposite over adjancent.

Since sin(∠A) is 4/7, that makes 4 the opposite and 7 the hypotenuse.

Since cos(∠A) is 3/7, that makes 3 the adjacent the 7 the hypotenuse again.

So to get tan(∠A), we just have to put 4/3 since that is the opposite over the adjacent.

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Art [367]

Answer:

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Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

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b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

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